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kupik [55]
3 years ago
10

Simplify the expression: 5(x + 2)2 - (4x + 3)

Mathematics
2 answers:
pickupchik [31]3 years ago
7 0
(Distribute)

(5x + 10)2 - (4x + 3)

(10x + 20) - (4x + 3)

6x + 17

oksano4ka [1.4K]3 years ago
3 0
(5x + 10)2 - (4x + 3)

(10x + 20) - (4x + 3)

6x + 17
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What is the surface area of the figure? 408ft^2 458ft^2 545ft^2 720ft^2
ser-zykov [4K]

9514 1404 393

Answer:

  (b)  458 ft²

Step-by-step explanation:

The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.

The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...

  (12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area

__

The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...

  7 ft + 7 ft + 5 ft + 5 ft + 12 ft + 12 ft = 48 ft

Then the sum of rectangular face areas is ...

  (48 ft)(5 ft) = 240 ft² . . . . rectangular face area

The total surface area is then ...

  2×front area + rectangular face area

  = 2×109 ft² +240 ft² = 458 ft² . . . . total surface area

3 0
3 years ago
Find the slope given the graph below:
RoseWind [281]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
If the amount of air in a spherical balloon is 288 cu. in., what is the radius of the balloon? 6 inches 7.3 inches 72 inches
garik1379 [7]

Answer:

6in

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The volume of a spherical balloon is 4/3 π R^3.  

So 288π = 4/3 π R^3  

The factors of π cancel out. Divide both sides by 4/3 to get:  

216 cubic inches = R^3  

Take the cube root of both sides, and you find that R = 6 inches

3 0
4 years ago
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